Solve for $x$ \[ \frac{5 x-14}{-3}=-7 \] Simplify your answer as much as po

Step 1 ：First, multiply both sides of the equation by -3 to get rid of the fraction: \(5x - 14 = 21\)

Step 2 ：Next, add 14 to both sides of the equation to isolate the term with x: \(5x = 35\)

Step 3 ：Finally, divide both sides of the equation by 5 to solve for x: \(x = \boxed{7}\)